Question: Consider the set F = {0 , 2, 4, 6, 8} (a) Show that F is a subring of Z 10 . (b) Show that

Consider the set F = {0 , 2, 4, 6, 8}

 (a) Show that F is a subring of Z10. 

(b) Show that F is a field under addition and multiplication modulo 10. 

(c) What is the unity in F? What is the characteristic of F?

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